179.75 is what percent of 380.35 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 380.35 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 380.35, so we can write it down as 100%=380.35.
4. We know, that x% equals 179.75 of the output value, so we can write it down as x%=179.75.
5. Now we have two simple equations:
1) 100%=380.35
2) x%=179.75
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=380.35/179.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 179.75 is what percent of 380.35

100%/x%=380.35/179.75
(100/x)*x=(380.35/179.75)*x       - we multiply both sides of the equation by x
100=2.1159944367177*x       - we divide both sides of the equation by (2.1159944367177) to get x
100/2.1159944367177=x
47.259103457342=x
x=47.259103457342

now we have:
179.75 is 47.259103457342% of 380.35